M´hammed El Kahoui List of publications, December 2008

[1] González-Vega, Laureano; El Kahoui, M’hammed. An improved upper complexity bound for the topology computation of a real algebraic plane curve. J. Complexity 12 (1996), no. 4, 527–544. [2] El Kahoui, M’hammed; Weber, Andreas. Deciding Hopf bifurcations by quantifier elimination in a software-component architecture. J. Symbolic Computation (2000),30 (2), 161–179. [3] El Kahoui, M’hammed; Weber, Andreas; Eberhardt, Bernd. Improved algorithms for linear complementarity problems arising from collision response. Math. Comput. Simulation 56 (2001), no. 1, 69–93. [4] El Kahoui, M’hammed. On plane polynomial vector fields and the Poincaré problem. Elect. J. diff. Equations vol 2002(2002), no. 37, 1–23. [5] Bouziane, Driss; El Kahoui, M’hammed. Computation of the dual of a projective algebraic plane curve. J. Symbolic Computation (2002) 34, 105–117. [6] El Kahoui, M’hammed. An elementary approach to subresultants theory. J. Symbolic Computation (2003) 35 (3), 281–292. [7] El Kahoui, M’hammed. Subresultants and locally nilpotent derivations. Linear Algebra and its Applications (2004) vol 380, 253–261. [8] El Kahoui, M’hammed. Rings of constants of derivations in polynomial rings over UFD’s of characteristic zero. Proc. Amer. Math. Soc. 132 (2004) 2543-2547 [9] El Houari, Hassan; El Kahoui, M’hammed. Algorihtms for recognizing coordinates in two variables over UFD’s of characteristic zero. ISSAC 2004, 135–140, ACM, New York, 2004. [10] El Kahoui, M’hammed. Birational properties of the gap subresultant varieties. J. Symbolic Computation (2005) 39, 61-71. [11] El Kahoui, M’hammed. D-resultant and subresultants. Proc. Amer. Math. Soc. 133 (2005), 2193-2199. [12] El Kahoui, M’hammed. UFD’s with commuting linearly independent locally nilpotent derivations. J. Algebra. 289 (2005) 446-452. [13] Brown, W. Christopher; El Kahoui, M’hammed; Novotni, Dominik and Weber, Andreas. Algorithmic methods for investigating equilibria in epidemic modelling. J. Symbolic Computation (2006) 41, 1157-1173. [14] EL Kahoui, M’hammed; Rekrak, Said. Structure of Gröbner bases with respect to block orders. Mathematics of Computation (2007) 76, 2181-2187. [15] Ben Bouziane, Toufiq; El Houari, Hassan; El Kahoui, M’hammed. Polynomial parametrization of nonsingular complete intersection curves. Appl. Algebra Engrg. Comm. Comput. (2007) 18, 5, 483-493. 1

[16] El Kahoui, M’hammed. Topology of real algebraic space curves. J. Symbolic computation (2008) 43, 235-258. [17] Barkatou, Moulay A.; El Houari, Hassan; El Kahoui, M’hammed. Triangulable locally nilpotent derivations in dimension three. J. Pure Appl. Algebra (2008) 212, 2129-2139. [18] El Kahoui, M’hammed; Otto, Adamou. Stability of disease free equilibria in epidemiological models. To appear in Mathematic of Computer Science.

PREPRINTS AND WORK IN PROGRESS [19] Barkatou, Moulay A.; El Kahoui, M’hammed. Locally nilpotent derivations of rank two in dimension three. Submitted. [20] El Kahoui, M’hammed; Moussa, Zakari Yaou. Plane algebraic curves with Eggers singularities. Preprint. [21] Barkatou, Moulay A.; El Kahoui, M’hammed. Locally nilpotent derivations of affine domains are stably triangular. Submitted. [22] Barkatou, Moulay A.; El Kahoui, M’hammed. Locally nilpotent derivations with a PID ring of constants. Preprint.

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